Variational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimization
type: Item
instance of: scholarly article
title: Variational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimization
zbMATH Open document ID: 1272.90076
author: Nguyen Le Hoang Anh
author: Phan Quoc Khanh
published in: Journal of Optimization Theory and Applications
publication date: 2013-09-23T00:00:00Z
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 6210555
zbMATH Keywords: nonsmooth vector optimization
zbMATH Keywords: sensitivity analysis
zbMATH Keywords: perturbation maps
zbMATH Keywords: weak perturbation maps
zbMATH Keywords: variational sets
zbMATH Keywords: singular variational sets
MaRDI profile type: Publication
full work available at URL: s10957-012-0257-5
OpenAlex ID: W2048730733
cites work: Introduction to sensitivity and stability analysis in nonlinear programming
cites work: Sensitivity analysis in multiobjective optimization
cites work: Stability and Sensitivity Analysis in Convex Vector Optimization
cites work: Contingent derivative of the perturbation map in multiobjective optimization
cites work: Sensitivity analysis in convex vector optimization
cites work: Sensitivity analysis in vector optimization
cites work: Sensitivity analysis in parametrized convex vector optimization
cites work: Sensitivity analysis using the tangent derivative
cites work: Second-order contingent derivative of the perturbation map in multiobjective optimization
cites work: Lower Studniarski derivative of the perturbation map in parametrized vector optimization
cites work: Set-valued analysis
cites work: Implicit Functions and Solution Mappings
cites work: Variational methods in partially ordered spaces
cites work: Contingent derivatives of set-valued maps and applications to vector optimization
cites work: Higher-order optimality conditions for set-valued optimization
cites work: Contingent epiderivatives and set-valued optimization
cites work: Q4942417
cites work: Second-order optimality conditions in set optimization
cites work: GENERALIZED CONTINGENT EPIDERIVATIVES IN SET-VALUED OPTIMIZATION: OPTIMALITY CONDITIONS
cites work: Generalized Higher-Order Optimality Conditions for Set-Valued Optimization under Henig Efficiency
cites work: First-order optimality conditions in set-valued optimization
cites work: A multiplier rule in set-valued optimisation
cites work: Radial epiderivatives and set-valued optimization
cites work: Radial Epiderivatives and Asymptotic Functions in Nonconvex Vector Optimization
cites work: Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization
cites work: Higher-order optimality conditions in set-valued optimization using radial sets and radial derivatives
cites work: Higher-order necessary optimality conditions in terms of Neustadt derivatives.
cites work: Q4547596
cites work: Higher order optimality conditions in nonsmooth vector optimization
cites work: Variational sets of multivalued mappings and a unified study of optimality conditions
cites work: Higher-order variational sets and higher-order optimality conditions for proper efficiency in set-valued nonsmooth vector optimization
cites work: Variational sets: calculus and applications to nonsmooth vector optimization
cites work: On higher-order sensitivity analysis in nonsmooth vector optimization
cites work: Higher-order optimality conditions for proper efficiency in nonsmooth vector optimization using radial sets and radial derivatives
DOI: 10.1007/S10957-012-0257-5
description: scientific article; zbMATH DE number 6210555